The UON conducts both face to face (FF) and online (OL) classes that are intended to be identical. Given below are the distributions of the two groups in terms of marks scored in a statistics examination. The modal mark is known for each group and given as 68 for face to face and 64 for online students respectively. Marks 30- 40 40- 50 50- 60 60- 70 70- 80 80 – 90 90-100 Total F.F Students 6 18 12 f1 18 f2 12 100 O.N Students 5 15 f1 22 19 11 f2 100        i.                    Find the missing frequencies f1 and f2 for each.       ii.                    Based on the mean mark justify who should be rewarded for good performance.    iii.                    Based on Pearson’s second coefficient of skewness, compare and comment on skewness of the two groups,

Algebra and Trigonometry (MindTap Course List)
4th Edition
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter14: Counting And Probability
Section14.2: Probability
Problem 4E: Let E and F be events in a sample space S. aThe probability of E and F occurring is...
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b.     The UON conducts both face to face (FF) and online (OL) classes that are intended to be identical. Given below are the distributions of the two groups in terms of marks scored in a statistics examination. The modal mark is known for each group and given as 68 for face to face and 64 for online students respectively.

Marks

30- 40

40- 50

50- 60

60- 70

70- 80

80 – 90

90-100

Total

F.F Students

6

18

12

f1

18

f2

12

100

O.N Students

5

15

f1

22

19

11

f2

100

       i.                    Find the missing frequencies f1 and ffor each. 

     ii.                    Based on the mean mark justify who should be rewarded for good performance.

   iii.                    Based on Pearson’s second coefficient of skewness, compare and comment on skewness of the two groups,

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